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A Multi-Scale Continuum View on Granular Flows

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Views on Microstructures in Granular Materials

Part of the book series: Advances in Mechanics and Mathematics ((ACM,volume 44))

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Abstract

We review some results related to a nonstandard view on the role of fluctuations in granular flows. The analysis underlines how we can move the boundary between what we intend to be mechanics and what we consider to be thermodynamics, depending on the details we involve in the description of body morphology and related motion.

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Acknowledgements

I wish to thank Gianfranco Capriz for bringing my attention toward this topic—in particular his new way of looking at the continuum modeling of sparse (dense) phase dynamics—with several illuminating discussions.

This work has been developed within the activities of the research group in “Theoretical Mechanics” of the “Centro di Ricerca Matematica Ennio De Giorgi” of the Scuola Normale Superiore in Pisa. The support of GNFM-INDAM is acknowledged.

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Authors and Affiliations

  1. DICEA, University of Florence, Firenze, Italy

    Paolo Maria Mariano

Authors
  1. Paolo Maria Mariano
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Correspondence to Paolo Maria Mariano .

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Editors and Affiliations

  1. Department of Civil, Energy, Environment, and Materials Engineering (DICEAM), University ‘Mediterranea’ of Reggio Calabria, Reggio Calabria, Italy

    Pasquale Giovine

  2. Department of Civil and Environmental Engineering, University of Florence, Firenze, Italy

    Paolo Maria Mariano

  3. Department of Civil, Energy, Environment, and Materials Engineering (DICEAM), University of Reggio Calabria, Reggio Calabria, Italy

    Giuseppe Mortara

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Mariano, P.M. (2020). A Multi-Scale Continuum View on Granular Flows. In: Giovine, P., Mariano, P.M., Mortara, G. (eds) Views on Microstructures in Granular Materials. Advances in Mechanics and Mathematics(), vol 44. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-49267-0_11

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